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Finding the Fourth Proportional to 1,856.68, 2,561.51 and 1,458.47

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Solution

The fourth proportional to 1,856.68, 2,561.51 and 1,458.47 is: 2,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.68 : 2,561.51 = 1,458.47 : x
  2. Step 2: Convert to fraction form
    1,856.68/2,561.51 = 1,458.47/x
  3. Step 3: Cross multiply
    1,856.68x = 2,561.51 × 1,458.47
  4. Step 4: Simplify right side
    1,856.68x = 3,735,895.54
  5. Step 5: Solve for x
    x = 3,735,895.54/1,856.68
  6. Step 6: Final answer
    x = 2,012.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.